Unformatted text preview: a (1) i,j + a (2) i,j , then det A = det A 1 + det A 2 where A 1 is the matrix derived by replacing the i th row (or j th column) with a (1) i,j and A 2 that derived by replacing the i th row (or j th column) by a (2) i,j . 7. The addition of a multiple of a row (or column) of a determinant to another row (or column) of the determinant leaves the value of the determinant unchanged. 8. Let A and B be two n × n matrices. Then det( AB ) = det A det B ....
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 Spring '08
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 Algebra, Determinant, Multiplication, Column, Row, detA, detA detB

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